dorsal/arxiv
View SchemaFrom finite nuclei to the nuclear liquid drop: leptodermous expansion based on the self-consistent mean-field theory
| Authors | P. -G. Reinhard, M. Bender, W. Nazarewicz, T. Vertse |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0510039 |
| URL | https://arxiv.org/abs/nucl-th/0510039 |
| DOI | 10.1103/PhysRevC.73.014309 |
| Journal | Phys.Rev. C73 (2006) 014309 |
Abstract
The parameters of the nuclear liquid drop model, such as the volume, surface, symmetry, and curvature constants, as well as bulk radii, are extracted from the non-relativistic and relativistic energy density functionals used in microscopic calculations for finite nuclei. The microscopic liquid drop energy, obtained self-consistently for a large sample of finite, spherical nuclei, has been expanded in terms of powers of A^{-1/3} (or inverse nuclear radius) and the isospin excess (or neutron-to-proton asymmetry). In order to perform a reliable extrapolation in the inverse radius, the calculations have been carried out for nuclei with huge numbers of nucleons, of the order of 10^6. The Coulomb interaction has been ignored to be able to approach nuclei of arbitrary sizes and to avoid radial instabilities characteristic of systems with very large atomic numbers. The main contribution to the fluctuating part of the binding energy has been removed using the Green's function method to calculate the shell correction. The limitations of applying the leptodermous expansion to actual nuclei are discussed. While the leading terms in the macroscopic energy expansion can be extracted very precisely, the higher-order, isospin-dependent terms are prone to large uncertainties due to finite-size effects.
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"abstract": "The parameters of the nuclear liquid drop model, such as the volume, surface,\nsymmetry, and curvature constants, as well as bulk radii, are extracted from\nthe non-relativistic and relativistic energy density functionals used in\nmicroscopic calculations for finite nuclei. The microscopic liquid drop energy,\nobtained self-consistently for a large sample of finite, spherical nuclei, has\nbeen expanded in terms of powers of A^{-1/3} (or inverse nuclear radius) and\nthe isospin excess (or neutron-to-proton asymmetry). In order to perform a\nreliable extrapolation in the inverse radius, the calculations have been\ncarried out for nuclei with huge numbers of nucleons, of the order of 10^6. The\nCoulomb interaction has been ignored to be able to approach nuclei of arbitrary\nsizes and to avoid radial instabilities characteristic of systems with very\nlarge atomic numbers. The main contribution to the fluctuating part of the\nbinding energy has been removed using the Green\u0027s function method to calculate\nthe shell correction. The limitations of applying the leptodermous expansion to\nactual nuclei are discussed. While the leading terms in the macroscopic energy\nexpansion can be extracted very precisely, the higher-order, isospin-dependent\nterms are prone to large uncertainties due to finite-size effects.",
"arxiv_id": "nucl-th/0510039",
"authors": [
"P. -G. Reinhard",
"M. Bender",
"W. Nazarewicz",
"T. Vertse"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.014309",
"journal_ref": "Phys.Rev. C73 (2006) 014309",
"title": "From finite nuclei to the nuclear liquid drop: leptodermous expansion based on the self-consistent mean-field theory",
"url": "https://arxiv.org/abs/nucl-th/0510039"
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